简化表达式 - 第2级
几何画板及绘图内容加载中,请稍等……
这个范例演示了如何通过 GeoGebra 工具简化包含正整数指数的数学表达式。涉及的核心数学概念是幂运算的理解和应用,即解释正整数指数幂为相同数字的重复乘法,并学会如何表示和应用它们。作图要点包括使用 Flatten, Sequence, Textfield, Join, TextToUnicode, If, Numerator, Denominator, Element, Defined, SpeechBubbleRight 等 GeoGebra 命令和对象来构建交互式练习。适合初中七、八年级学生使用,用于练习和理解幂运算。
GeoGebra 命令及参数
Flatten(Join[{{1, 1}, Sequence[Shuffle[{1, 2, 3}], k, 1, 67]}]) → NumberCaseListSequence(RandomElement[Remove[Sequence[-5 + (0.1 * k), k, 1, 100], {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}]], m, 1, 200) → DecimalList1, {2.9000000000000004, 2.5, 2.9000000000000004, -0.39999999999999947, -4.1, 4.5, 0.5, -2.0999999999999996, 1.1000000000000005, 1.1000000000000005, 0.40000000000000036, 4.800000000000001, 4.5, -3.5999999999999996, 0.7000000000000002, -1.2999999999999998, 2.7, -3.5999999999999996, 3.9000000000000004, 1.1000000000000005, -1.9, -4.6, 4.300000000000001, 1.4000000000000004, 3.200000000000001, 0.10000000000000053, 2.4000000000000004, -0.5999999999999996, -1.5999999999999996, 3.200000000000001, -3.5999999999999996, 4.1, -0.39999999999999947, 4.200000000000001, 0.8000000000000007, 4.5, -3.0999999999999996, -4.3, 1.7000000000000002, 2.6000000000000005, 2.8000000000000007, 2.9000000000000004, -4.8, 1.1000000000000005, -3.7, -0.5999999999999996, 1.4000000000000004, 1.8000000000000007, 4.200000000000001, 3.200000000000001, -1.6999999999999997, -1.0999999999999996, -4.6, -1.1999999999999997, 0.9000000000000004, 4.1, 2.5, -3.3, -0.5, 2.8000000000000007, -4.8, 2.3000000000000007, -3.9, 4.1, -4.8, 1.4000000000000004, 4.700000000000001, 4.4, -1.2999999999999998, 3.8000000000000007, 0.8000000000000007, -2.5, 2.3000000000000007, 0.40000000000000036, 4.5, 4.800000000000001, -2.3, 1.1000000000000005, 1.6000000000000005, 4.4, 2.4000000000000004, 2.7, 2.2, 2.6000000000000005, 2.8000000000000007, 2.9000000000000004, -4.8, 2.2, -4.7, -2.3, 4.800000000000001, 0.9000000000000004, -2.4, 3.5, -1.7999999999999998, 3.5, 4.300000000000001, 1.5, 2.5, 0.8000000000000007, -3.5, -1.6999999999999997, 4.700000000000001, -1.2999999999999998, -0.8999999999999995, 4.1, -3.5999999999999996, 2.8000000000000007, 2.3000000000000007, -4.4, 1.2000000000000002, 3.0999999999999996, -4.4, 0.40000000000000036, 3.700000000000001, -3.5999999999999996, -2.6999999999999997, 4.800000000000001, 0.9000000000000004, 3.8000000000000007, 0.40000000000000036, -2.3, -4.6, -4.5, 0.7000000000000002, -1.6999999999999997, 3.700000000000001, 2.6000000000000005, 0.10000000000000053, -1.7999999999999998, 1.9000000000000004, -4.7, 1.4000000000000004, 3.4000000000000004, -3.4, 1.5, -2.4, 4.300000000000001, 4.5, 0.9000000000000004, -0.39999999999999947, -2.1999999999999997, -3.0999999999999996, -4.3, 3.4000000000000004, 1.1000000000000005, 4.600000000000001, 1.3000000000000007, -2.8, -1.1999999999999997, -1.6999999999999997, 4.600000000000001, -4.9, -2.9, 3.4000000000000004, 2.7, 2.5, 3.700000000000001, -4.5, -0.8999999999999995, 0.8000000000000007, 3.4000000000000004, -1.1999999999999997, -1.0999999999999996, 2.8000000000000007, -0.8999999999999995, -4.4, 2.8000000000000007, -4.7, -1.0999999999999996, -3.0999999999999996, -0.5, -1.0999999999999996, -0.5999999999999996, 2.7, 0.10000000000000053, -4.6, 2.8000000000000007, 0.40000000000000036, -3.0999999999999996, -3.2, -1.4, 2.9000000000000004, 1.6000000000000005, 3.9000000000000004, 1.3000000000000007, -3.9, -0.5999999999999996, -2.9, 0.40000000000000036, -0.7999999999999998, -1.7999999999999998, 0.3000000000000007, 3.200000000000001, -1.2999999999999998, -4.4, 3.5999999999999996, 3.5, -2.5, -3.2}Sequence(RandomElement[{1 / 9, 2 / 9, 4 / 9, 5 / 9, 7 / 9, 8 / 9, 1 / 8, 3 / 8, 5 / 8, 7 / 8, 1 / 7, 2 / 7, 3 / 7, 4 / 7, 5 / 7, 6 / 7, 1 / 6, 5 / 6, 1 / 5, 2 / 5, 3 / 5, 4 / 5, 1 / 4, 3 / 4, 1 / 3, 2 / 3, 1 / 2}], k, 1, 200) → FractionList1, {0.625, 0.4, 0.6666666666666666, 0.7777777777777778, 0.8333333333333334, 0.6666666666666666, 0.4, 0.25, 0.4, 0.1111111111111111, 0.2, 0.8571428571428571, 0.2857142857142857, 0.8571428571428571, 0.7142857142857143, 0.25, 0.875, 0.25, 0.8, 0.16666666666666666, 0.4444444444444444, 0.1111111111111111, 0.14285714285714285, 0.3333333333333333, 0.5714285714285714, 0.8888888888888888, 0.125, 0.875, 0.14285714285714285, 0.8, 0.8, 0.625, 0.8, 0.4444444444444444, 0.8, 0.2, 0.2857142857142857, 0.6, 0.375, 0.14285714285714285, 0.4, 0.5555555555555556, 0.875, 0.2, 0.2222222222222222, 0.5, 0.16666666666666666, 0.375, 0.5714285714285714, 0.6666666666666666, 0.8571428571428571, 0.25, 0.625, 0.7142857142857143, 0.2857142857142857, 0.6666666666666666, 0.42857142857142855, 0.42857142857142855, 0.625, 0.375, 0.75, 0.7777777777777778, 0.1111111111111111, 0.4444444444444444, 0.75, 0.1111111111111111, 0.1111111111111111, 0.125, 0.6, 0.125, 0.375, 0.1111111111111111, 0.7142857142857143, 0.2857142857142857, 0.5, 0.8888888888888888, 0.7142857142857143, 0.125, 0.2, 0.7777777777777778, 0.5714285714285714, 0.5714285714285714, 0.7777777777777778, 0.1111111111111111, 0.875, 0.1111111111111111, 0.6, 0.4444444444444444, 0.8, 0.5555555555555556, 0.25, 0.2222222222222222, 0.16666666666666666, 0.8333333333333334, 0.75, 0.125, 0.875, 0.8888888888888888, 0.625, 0.5714285714285714, 0.125, 0.6, 0.3333333333333333, 0.8571428571428571, 0.75, 0.16666666666666666, 0.75, 0.2, 0.6666666666666666, 0.6666666666666666, 0.7777777777777778, 0.8571428571428571, 0.7142857142857143, 0.4, 0.2222222222222222, 0.7142857142857143, 0.7142857142857143, 0.6666666666666666, 0.875, 0.875, 0.8, 0.375, 0.875, 0.6, 0.625, 0.4444444444444444, 0.8333333333333334, 0.875, 0.25, 0.5714285714285714, 0.8333333333333334, 0.8333333333333334, 0.4, 0.8571428571428571, 0.42857142857142855, 0.3333333333333333, 0.42857142857142855, 0.2, 0.42857142857142855, 0.5555555555555556, 0.4, 0.8, 0.42857142857142855, 0.7142857142857143, 0.625, 0.2222222222222222, 0.625, 0.42857142857142855, 0.42857142857142855, 0.5555555555555556, 0.625, 0.875, 0.1111111111111111, 0.375, 0.75, 0.125, 0.6, 0.5714285714285714, 0.5, 0.1111111111111111, 0.7777777777777778, 0.75, 0.6666666666666666, 0.8888888888888888, 0.5714285714285714, 0.42857142857142855, 0.42857142857142855, 0.4, 0.16666666666666666, 0.8333333333333334, 0.8888888888888888, 0.2, 0.5555555555555556, 0.2857142857142857, 0.14285714285714285, 0.42857142857142855, 0.42857142857142855, 0.8333333333333334, 0.8571428571428571, 0.6, 0.6, 0.625, 0.8888888888888888, 0.875, 0.6, 0.2, 0.4444444444444444, 0.625, 0.7142857142857143, 0.7777777777777778, 0.1111111111111111, 0.8888888888888888, 0.2222222222222222, 0.6666666666666666, 0.125, 0.8571428571428571, 0.2857142857142857, 0.5555555555555556, 0.7777777777777778, 0.8333333333333334}Textfield(input1) → InputBox1Join({{RandomElement[2…10], RandomElement[2…10]}, Sequence[RandomElement[{-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6, 7, 8, 9, 10}], k, 1, 198]}) → IntegerList1Join(Sequence[Shuffle[{2, 2}], k, 1, 100]) → CaseListSequence(If[NumberCaseList(k) ≠ 2, RandomElement[{2, 3, 4, 5, 6}], RandomElement[{2, 3, 4}]], k, 1, 200) → FactorExpList1TextToUnicode((InputBox1 * "")) → uniUserIf(NumberCase ≟ 1, IntegerList1(counter), NumberCase ≟ 2, DecimalList1(counter), FractionList1(counter)) → num1Join({{RandomElement[Remove[2…10, {IntegerList1(1), (-IntegerList1(1))}]], RandomElement[Remove[2…10, {IntegerList1(2), (-IntegerList1(2))}]]}, Sequence[RandomElement[Remove[If[IntegerList1(k + 2) > 0, {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, 2…10], {IntegerList1(k + 2), (-IntegerList1(k + 2))}]], k, 1, 198]}) → IntegerList2Flatten(Join[{{2, 2}, Sequence[If[NumberCaseList(k + 2) ≠ 2, RandomElement[{2, 3}], RandomElement[{2}]], k, 1, 198]}]) → AnzahlListFlatten(Sequence[Shuffle[{1, 2, 3}], k, 1, 67]) → SignList1Flatten(Sequence[Shuffle[{1, 2, 3}], k, 1, 67]) → SignList2Sequence(RandomElement[Remove[{1 / 9, 2 / 9, 4 / 9, 5 / 9, 7 / 9, 8 / 9, 1 / 8, 3 / 8, 5 / 8, 7 / 8, 1 / 7, 2 / 7, 3 / 7, 4 / 7, 5 / 7, 6 / 7, 1 / 6, 5 / 6, 1 / 5, 2 / 5, 3 / 5, 4 / 5, 1 / 4, 3 / 4, 1 / 3, 2 / 3, 1 / 2}, {FractionList1(k)}]], k, 1, 200) → FractionList2, {0.6666666666666666, 0.2222222222222222, 0.8333333333333334, 0.42857142857142855, 0.8, 0.25, 0.6666666666666666, 0.875, 0.25, 0.8333333333333334, 0.4, 0.4, 0.8888888888888888, 0.5714285714285714, 0.2222222222222222, 0.8888888888888888, 0.3333333333333333, 0.6, 0.7777777777777778, 0.14285714285714285, 0.1111111111111111, 0.4444444444444444, 0.8571428571428571, 0.375, 0.8888888888888888, 0.2222222222222222, 0.8571428571428571, 0.125, 0.625, 0.16666666666666666, 0.8571428571428571, 0.375, 0.14285714285714285, 0.14285714285714285, 0.2857142857142857, 0.8888888888888888, 0.5555555555555556, 0.2222222222222222, 0.4444444444444444, 0.1111111111111111, 0.6666666666666666, 0.2857142857142857, 0.16666666666666666, 0.6, 0.125, 0.25, 0.3333333333333333, 0.5714285714285714, 0.42857142857142855, 0.875, 0.75, 0.2857142857142857, 0.3333333333333333, 0.25, 0.5, 0.375, 0.8888888888888888, 0.8333333333333334, 0.3333333333333333, 0.8, 0.16666666666666666, 0.5, 0.42857142857142855, 0.3333333333333333, 0.6666666666666666, 0.7777777777777778, 0.2, 0.2, 0.8333333333333334, 0.14285714285714285, 0.8, 0.42857142857142855, 0.14285714285714285, 0.375, 0.4, 0.6, 0.5714285714285714, 0.8571428571428571, 0.7777777777777778, 0.5, 0.6, 0.75, 0.625, 0.2, 0.14285714285714285, 0.8571428571428571, 0.8333333333333334, 0.7142857142857143, 0.875, 0.8571428571428571, 0.75, 0.375, 0.125, 0.5714285714285714, 0.2857142857142857, 0.8571428571428571, 0.5714285714285714, 0.6666666666666666, 0.375, 0.7777777777777778, 0.5714285714285714, 0.2222222222222222, 0.375, 0.8888888888888888, 0.375, 0.4, 0.4, 0.5, 0.5714285714285714, 0.125, 0.8, 0.1111111111111111, 0.5, 0.8888888888888888, 0.8888888888888888, 0.2857142857142857, 0.375, 0.1111111111111111, 0.75, 0.125, 0.125, 0.75, 0.125, 0.625, 0.3333333333333333, 0.8, 0.7777777777777778, 0.25, 0.42857142857142855, 0.4444444444444444, 0.2222222222222222, 0.2857142857142857, 0.16666666666666666, 0.3333333333333333, 0.8571428571428571, 0.1111111111111111, 0.8333333333333334, 0.7142857142857143, 0.2, 0.3333333333333333, 0.8571428571428571, 0.8888888888888888, 0.7142857142857143, 0.625, 0.8, 0.375, 0.8333333333333334, 0.4444444444444444, 0.7142857142857143, 0.16666666666666666, 0.5, 0.5714285714285714, 0.625, 0.8888888888888888, 0.25, 0.8333333333333334, 0.8888888888888888, 0.875, 0.42857142857142855, 0.8571428571428571, 0.6, 0.5555555555555556, 0.8333333333333334, 0.3333333333333333, 0.375, 0.16666666666666666, 0.7777777777777778, 0.7777777777777778, 0.875, 0.14285714285714285, 0.5714285714285714, 0.4, 0.125, 0.8, 0.8888888888888888, 0.4, 0.7777777777777778, 0.625, 0.375, 0.8571428571428571, 0.6666666666666666, 0.3333333333333333, 0.16666666666666666, 0.2, 0.6666666666666666, 0.2857142857142857, 0.75, 0.125, 0.1111111111111111, 0.5, 0.8, 0.14285714285714285, 0.16666666666666666, 0.875, 0.3333333333333333, 0.875, 0.2, 0.875, 0.7142857142857143, 0.5555555555555556}Sequence(RandomElement[Remove[Sequence[-5 + (0.1 * k), k, 1, 100], If[DecimalList1(m) < 0, {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, DecimalList1(m), (-DecimalList1(m)), -4.9, -4.8, -4.7, -4.6, -4.5, -4.4, -4.3, -4.2, -4.1, -3.9, -3.8, -3.7, -3.6, -3.5, -3.4, -3.3, -3.2, -3.1, -2.9, -2.8, -2.7, -2.6, -2.5, -2.4, -2.3, -2.2, -2, 1, -1.9, -1.8, -1.7, -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, -0.9, -0.8, -0.7, -0.6, -0.5, -0.4, -0.3, -0.2, -0.1}, {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, DecimalList1(m), (-DecimalList1(m))}]]], m, 1, 200) → DecimalList2, {-1.1999999999999997, 2.7, 2.4000000000000004, 4.700000000000001, 3.9000000000000004, 0.6000000000000005, -0.7000000000000002, 3.4000000000000004, 3.0999999999999996, -2.9, 4.9, 1.4000000000000004, -3.0999999999999996, 2.9000000000000004, -2.8, 2.6000000000000005, -4.5, 3.0999999999999996, -2.5, -4.1, 1.3000000000000007, 4.9, -3.9, 2.1000000000000005, -1.1999999999999997, -0.39999999999999947, 0.20000000000000018, 0.5, 0.6000000000000005, 2.5, 0.5, -0.09999999999999964, 2.5, 4.5, -3.3, -0.1999999999999993, 1.7000000000000002, 2.2, 4.5, -2.1999999999999997, 1.5, -4.6, 4.700000000000001, 2.4000000000000004, 0.40000000000000036, 0.9000000000000004, 4.5, -0.5, 1.8000000000000007, 3.8000000000000007, 0.9000000000000004, 2.5, 1.5, 2.8000000000000007, 0.5, -1.1999999999999997, 1.4000000000000004, 0.7000000000000002, 2.2, -4.2, 3.5999999999999996, 3.200000000000001, 2.1000000000000005, 1.9000000000000004, 1.2000000000000002, -2.8, -0.8999999999999995, 1.4000000000000004, 0.40000000000000036, 1.9000000000000004, -3.3, 2.7, 4.5, 4.800000000000001, -1.2999999999999998, 0.40000000000000036, -2.0999999999999996, 3.200000000000001, 1.5, -3.3, 2.9000000000000004, 0.6000000000000005, 2.4000000000000004, -1.0999999999999996, -4.3, 0.6000000000000005, 3.8000000000000007, -0.5999999999999996, 4.600000000000001, 4.300000000000001, -3.7, -2.5, 4.4, -0.2999999999999998, 1.1000000000000005, 4.200000000000001, -3.7, 1.4000000000000004, 1.5, -0.5999999999999996, 4.700000000000001, 1.3000000000000007, -2.4, 2.8000000000000007, 1.8000000000000007, 3.200000000000001, 3.700000000000001, 0.5, 0.8000000000000007, 1.4000000000000004, 1.6000000000000005, -3.7, 0.10000000000000053, -4.5, -4.4, 0.5, 4.800000000000001, 0.8000000000000007, 3.4000000000000004, -2.1999999999999997, -4.8, 2.5, 0.10000000000000053, 2.2, 3.3000000000000007, 1.8000000000000007, 3.9000000000000004, -3.3, -3.9, 0.5, -0.09999999999999964, 0.40000000000000036, -0.5, -2.3, 4.700000000000001, -4.7, 3.9000000000000004, 4.700000000000001, 3.5, -0.09999999999999964, 2.1000000000000005, 4.300000000000001, 1.4000000000000004, 4.800000000000001, 4.1, -4.4, -0.09999999999999964, -2.1999999999999997, 1.9000000000000004, 4.600000000000001, 0.40000000000000036, 3.700000000000001, 4.700000000000001, 0.9000000000000004, 1.4000000000000004, 2.8000000000000007, -4.8, -4.9, 3.0999999999999996, 3.200000000000001, -2.0999999999999996, -0.5999999999999996, 1.8000000000000007, 0.3000000000000007, 0.10000000000000053, 4.4, 0.8000000000000007, -2.5999999999999996, 3.5, 2.4000000000000004, 1.1000000000000005, 1.6000000000000005, 1.9000000000000004, 0.40000000000000036, 0.3000000000000007, -1.4, 0.8000000000000007, 2.4000000000000004, 4.9, 3.5999999999999996, 1.5, 2.4000000000000004, 4.5, 3.8000000000000007, 3.8000000000000007, -2.4, 4.5, 2.9000000000000004, 2.6000000000000005, 3.700000000000001, -2.0999999999999996, 2.9000000000000004, -1.5999999999999996, -1.4, 0.5, 0.5, 2.3000000000000007, 0.3000000000000007, 3.4000000000000004, 0.7000000000000002}If(NumberCase ≟ 1, IntegerList2(counter), NumberCase ≟ 2, DecimalList2(counter), FractionList2(counter)) → num2Sequence(If[NumberCaseList(k) ≠ 2 ∧ FactorExpList1(k) ≠ 6, RandomElement[Remove[{2, 3, 4, 5, 6}, {FactorExpList1(k)}]], RandomElement[Remove[{2, 3, 4}, {FactorExpList1(k)}]]], k, 1, 200) → FactorExpList2Join({{RandomElement[Remove[2…10, {IntegerList1(1), IntegerList2(1), (-IntegerList1(1)), (-IntegerList2(1))}]], RandomElement[Remove[2…10, {IntegerList1(2), IntegerList2(2), (-IntegerList1(2)), (-IntegerList2(2))}]]}, Sequence[RandomElement[Remove[{-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, If[IntegerList1(k + 2) < 0 ∨ IntegerList2(k + 2) < 0, {IntegerList1(k + 2), IntegerList2(k + 2), (-IntegerList1(k + 2)), (-IntegerList2(k + 2)), -10, -9, -8, -7, -6, -5, -4, -3, -2, -1}, {IntegerList1(k + 2), IntegerList2(k + 2), (-IntegerList1(k + 2)), (-IntegerList2(k + 2))}]]], k, 1, 198]}) → IntegerList3Sequence(RandomElement[Remove[{1 / 9, 2 / 9, 4 / 9, 5 / 9, 7 / 9, 8 / 9, 1 / 8, 3 / 8, 5 / 8, 7 / 8, 1 / 7, 2 / 7, 3 / 7, 4 / 7, 5 / 7, 6 / 7, 1 / 6, 5 / 6, 1 / 5, 2 / 5, 3 / 5, 4 / 5, 1 / 4, 3 / 4, 1 / 3, 2 / 3, 1 / 2}, {FractionList1(k), FractionList2(k)}]], k, 1, 200) → FractionList3, {0.1111111111111111, 0.8, 0.8571428571428571, 0.2857142857142857, 0.7142857142857143, 0.1111111111111111, 0.14285714285714285, 0.375, 0.7142857142857143, 0.8888888888888888, 0.2857142857142857, 0.25, 0.6, 0.8, 0.4, 0.7777777777777778, 0.5, 0.8888888888888888, 0.42857142857142855, 0.6, 0.2, 0.75, 0.75, 0.7777777777777778, 0.7777777777777778, 0.1111111111111111, 0.5555555555555556, 0.6, 0.7777777777777778, 0.25, 0.16666666666666666, 0.8888888888888888, 0.5, 0.4, 0.14285714285714285, 0.7142857142857143, 0.4, 0.875, 0.3333333333333333, 0.6, 0.5714285714285714, 0.8888888888888888, 0.625, 0.42857142857142855, 0.2, 0.14285714285714285, 0.8, 0.8, 0.8571428571428571, 0.8333333333333334, 0.4444444444444444, 0.1111111111111111, 0.2, 0.2, 0.625, 0.14285714285714285, 0.6, 0.2857142857142857, 0.6, 0.2857142857142857, 0.625, 0.42857142857142855, 0.3333333333333333, 0.42857142857142855, 0.3333333333333333, 0.8571428571428571, 0.5714285714285714, 0.16666666666666666, 0.25, 0.7142857142857143, 0.8333333333333334, 0.7777777777777778, 0.16666666666666666, 0.16666666666666666, 0.5714285714285714, 0.2857142857142857, 0.8888888888888888, 0.7142857142857143, 0.1111111111111111, 0.375, 0.16666666666666666, 0.875, 0.2, 0.42857142857142855, 0.8333333333333334, 0.3333333333333333, 0.625, 0.8333333333333334, 0.5555555555555556, 0.2222222222222222, 0.8888888888888888, 0.4, 0.2, 0.375, 0.14285714285714285, 0.5714285714285714, 0.4444444444444444, 0.16666666666666666, 0.75, 0.75, 0.625, 0.7777777777777778, 0.8333333333333334, 0.875, 0.3333333333333333, 0.5555555555555556, 0.25, 0.375, 0.6, 0.3333333333333333, 0.875, 0.625, 0.2222222222222222, 0.14285714285714285, 0.6666666666666666, 0.14285714285714285, 0.8333333333333334, 0.7777777777777778, 0.5714285714285714, 0.3333333333333333, 0.6, 0.1111111111111111, 0.6, 0.8888888888888888, 0.125, 0.2222222222222222, 0.3333333333333333, 0.4444444444444444, 0.16666666666666666, 0.7142857142857143, 0.5, 0.3333333333333333, 0.2857142857142857, 0.625, 0.16666666666666666, 0.6666666666666666, 0.6, 0.8888888888888888, 0.1111111111111111, 0.2, 0.375, 0.5714285714285714, 0.5714285714285714, 0.875, 0.6666666666666666, 0.5714285714285714, 0.5555555555555556, 0.25, 0.5555555555555556, 0.6666666666666666, 0.75, 0.8, 0.5714285714285714, 0.8571428571428571, 0.5714285714285714, 0.16666666666666666, 0.1111111111111111, 0.6666666666666666, 0.875, 0.4, 0.2222222222222222, 0.6666666666666666, 0.16666666666666666, 0.75, 0.3333333333333333, 0.375, 0.625, 0.5, 0.4444444444444444, 0.4, 0.875, 0.625, 0.8, 0.4444444444444444, 0.875, 0.375, 0.2222222222222222, 0.7777777777777778, 0.2857142857142857, 0.2222222222222222, 0.625, 0.8571428571428571, 0.8571428571428571, 0.2857142857142857, 0.4, 0.75, 0.1111111111111111, 0.16666666666666666, 0.8888888888888888, 0.4, 0.3333333333333333, 0.875, 0.7777777777777778, 0.4444444444444444, 0.14285714285714285, 0.5714285714285714, 0.875, 0.2, 0.5714285714285714, 0.625}Sequence(RandomElement[Remove[Sequence[-5 + (0.1 * k), k, 1, 100], If[DecimalList1(m) < 0 ∧ DecimalList2(m) < 0, {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, DecimalList1(m), DecimalList2(m), (-DecimalList1(m)), (-DecimalList2(m)), -4.9, -4.8, -4.7, -4.6, -4.5, -4.4, -4.3, -4.2, -4.1, -3.9, -3.8, -3.7, -3.6, -3.5, -3.4, -3.3, -3.2, -3.1, -2.9, -2.8, -2.7, -2.6, -2.5, -2.4, -2.3, -2.2, -2, 1, -1.9, -1.8, -1.7, -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, -0.9, -0.8, -0.7, -0.6, -0.5, -0.4, -0.3, -0.2, -0.1}, {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, DecimalList1(m), DecimalList2(m), (-DecimalList1(m)), (-DecimalList2(m))}]]], m, 1, 200) → DecimalList3, {4.200000000000001, -1.5999999999999996, 3.5, 3.5999999999999996, 0.8000000000000007, -1.1999999999999997, 3.5, 0.5, 4.800000000000001, -0.5, -3.9, -0.1999999999999993, -3.2, -2.0999999999999996, 2.4000000000000004, 4.200000000000001, -1.7999999999999998, -0.39999999999999947, 2.7, 4.200000000000001, 2.5, 2.7, 2.4000000000000004, -4.3, -1.4, 2.7, 4.5, 4.9, -3.0999999999999996, -2.6999999999999997, -1.9, -4.5, 4.200000000000001, -4.8, 4.700000000000001, -2.0999999999999996, -4.7, -1.9, -2.4, -1.2999999999999998, -4.3, 3.4000000000000004, -1.0999999999999996, 2.5, 1.5, 2.2, -2.5, 3.5, -1.6999999999999997, 1.3000000000000007, 4.800000000000001, 1.9000000000000004, 4.300000000000001, -0.2999999999999998, -1.6999999999999997, -3.5999999999999996, 0.7000000000000002, -1.5999999999999996, -4.9, 4.800000000000001, -2.1999999999999997, -2.0999999999999996, -2.6999999999999997, -0.8999999999999995, -2.1999999999999997, 1.5, 0.40000000000000036, -0.2999999999999998, 0.7000000000000002, -0.09999999999999964, 1.1000000000000005, 3.0999999999999996, 0.9000000000000004, 3.3000000000000007, -4.3, 0.20000000000000018, 4.300000000000001, -3.3, -2.5, -3.5999999999999996, -0.5, -3.5999999999999996, -4.2, 4.700000000000001, 4.200000000000001, 2.7, -2.0999999999999996, -2.5, 4.1, 4.200000000000001, -3.8, -4.1, 0.20000000000000018, 4.1, 4.4, 2.1000000000000005, -1.7999999999999998, -3.7, 0.10000000000000053, -4.9, -0.1999999999999993, 1.9000000000000004, 1.5, -4.6, 0.6000000000000005, 1.6000000000000005, 3.4000000000000004, -4.5, 0.10000000000000053, -2.9, 3.3000000000000007, -1.6999999999999997, -0.7000000000000002, -4.1, -3.5999999999999996, 1.5, 4.300000000000001, 1.2000000000000002, 0.20000000000000018, 0.3000000000000007, -4.7, -3.7, -2.0999999999999996, -3.2, -4.8, -2.9, -3.5, -4.9, 4.5, 1.4000000000000004, 4.600000000000001, -2.6999999999999997, -2.5, -1.7999999999999998, -4.8, 1.7000000000000002, 4.5, -2.4, -3.5999999999999996, 4.300000000000001, -1.5999999999999996, 4.200000000000001, 2.5, -0.09999999999999964, -2.8, 0.5, -2.5, 1.2000000000000002, 4.600000000000001, -1.0999999999999996, 2.6000000000000005, 1.8000000000000007, 4.300000000000001, 4.700000000000001, -1.6999999999999997, 1.9000000000000004, -1.6999999999999997, 2.8000000000000007, -1.6999999999999997, -4.2, 3.5, -4.6, -3.2, 2.4000000000000004, 1.2000000000000002, -3.3, -4.5, -2.4, 1.9000000000000004, 0.7000000000000002, -4.8, 1.3000000000000007, 4.9, 2.3000000000000007, 2.4000000000000004, 3.5999999999999996, 4.200000000000001, -3.5999999999999996, 3.8000000000000007, -1.9, 1.8000000000000007, 1.6000000000000005, 0.5, 2.2, -2.1999999999999997, -1.5999999999999996, 1.3000000000000007, -2.0999999999999996, -0.1999999999999993, -3.4, 4.200000000000001, -3.8, -0.7999999999999998, 0.40000000000000036, 2.1000000000000005, 3.700000000000001, -0.09999999999999964, 4.1, -4.9, 2.9000000000000004}If(NumberCase ≟ 1, IntegerList3(counter), NumberCase ≟ 2, DecimalList3(counter), FractionList3(counter)) → num3Sequence(RandomElement[Remove[{2, 3, 4, 5, 6}, {expo1, expo2, If[expo1 ≟ 6 ∨ expo2 ≟ 6, 5], If[expo1 ≟ 6 ∨ expo2 ≟ 6, 4], If[expo1 ≟ 6 ∨ expo2 ≟ 6, 5], If[expo1 ≟ 6 ∨ expo2 ≟ 6, 4], If[expo1 ≟ 5 ∨ expo2 ≟ 5, 5], If[expo1 ≟ 5 ∨ expo2 ≟ 5, 4]}]], k, 1, 200) → FactorExpList3, {2, 5, 6, 2, 5, 2, 2, 2, 6, 5, 2, 2, 2, 2, 5, 6, 2, 5, 2, 5, 5, 2, 6, 5, 5, 5, 2, 5, 2, 2, 5, 2, 6, 5, 2, 5, 5, 2, 2, 2, 6, 5, 2, 6, 2, 2, 2, 6, 2, 2, 2, 2, 6, 5, 6, 2, 6, 5, 6, 6, 2, 5, 6, 2, 2, 5, 2, 5, 6, 2, 6, 5, 2, 2, 6, 6, 2, 5, 6, 2, 5, 6, 6, 5, 5, 2, 6, 6, 6, 5, 6, 5, 6, 5, 5, 2, 6, 2, 5, 5, 5, 2, 2, 2, 6, 5, 2, 5, 5, 6, 5, 2, 6, 2, 6, 6, 5, 6, 2, 2, 5, 2, 5, 2, 2, 5, 5, 6, 2, 5, 2, 2, 2, 2, 2, 6, 5, 2, 6, 5, 6, 2, 2, 5, 5, 5, 6, 5, 6, 6, 2, 6, 6, 2, 6, 2, 6, 2, 6, 2, 2, 5, 5, 6, 5, 2, 2, 5, 2, 2, 5, 6, 6, 2, 6, 2, 6, 6, 6, 6, 5, 6, 2, 2, 6, 6, 5, 2, 5, 6, 5, 6, 2, 2, 6, 2, 6, 2, 5, 2}Numerator(frac1) → fracN1Denominator(frac1) → fracD1If(NumberCase ≠ 3, TextToUnicode[("" * num1)], {LetterToUnicode[("" * fracN1)], 47, LetterToUnicode[("" * fracD1)]}) → uniNum1Denominator(frac2) → fracD2Denominator(frac3) → fracD3Numerator(frac2) → fracN2Numerator(frac3) → fracN3If(NumberCase ≠ 3, TextToUnicode[("" * num2)], {LetterToUnicode[("" * fracN2)], 47, LetterToUnicode[("" * fracD2)]}) → uniNum2If(NumberCase ≠ 3, TextToUnicode[("" * num3)], {LetterToUnicode[("" * fracN3)], 47, LetterToUnicode[("" * fracD3)]}) → uniNum3Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {7, 10, 2, 1, 5, 3, 4, 1, 2, 5}Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumberDefined(input1) → clickableBtnValidateIf(Case ≟ 1, "+", "\cdot") → symbIf(NumberCase ≟ 1, txtInt1, NumberCase ≟ 2, txtDec1, txtFrac1) → txtNum1If(NumberCase ≟ 1, txtInt2, NumberCase ≟ 2, txtDec2, txtFrac2) → txtNum2If(NumberCase ≟ 1, txtInt3, NumberCase ≟ 2, txtDec3, txtFrac3) → txtNum3SpeechBubbleRight(PosSB, sbwidth, sbheight) → poly1TextToUnicode("*") → uniMultListJoin({TextToUnicode["^²³"], {8308, 8309, 8310, 8311, 8312, 8313}}) → uniExpList
AI 绘图提示语参考
在画面中设置一个可拖动的题号或计数器,并提供一个输入框让用户查看题目表达式。生成多组随机数,用于确定底数与指数的类型:底数可为正整数、含小数或分数;指数在多种情形下可为整数(含负号)、小数或分数,但始终可把指数视作幂的次方。根据当前题号选择要显示的表达式形式:当指数为整数时用乘号符号连接并把幂写成“底数^指数”;当底数为分数时把分子分母分别排在分式位置。再把指数的显示用上标形式呈现,并用一个右侧气泡将整题文字排版出来,气泡内包含“x、乘号或点、以及 ^ 和上标指数”的组合,使表达式读起来像简化幂的练习题。
以上提示语为根据原始绘图命令整理而来,仅供参考。